Finding the Fourth Proportional to 2,609.69, 3,602.16 and 2,259.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.69 : 3,602.16 = 2,259.38 : x
2. Step 2: Convert to fraction form
   2,609.69/3,602.16 = 2,259.38/x
3. Step 3: Cross multiply
   2,609.69x = 3,602.16 × 2,259.38
4. Step 4: Simplify right side
   2,609.69x = 8,138,657.27
5. Step 5: Solve for x
   x = 8,138,657.27/2,609.69
6. Step 6: Final answer
   x = 3,118.63